85887440 has 20 divisors (see below), whose sum is σ = 199688484. Its totient is φ = 34354944.

The previous prime is 85887437. The next prime is 85887449. The reversal of 85887440 is 4478858.

It can be written as a sum of positive squares in 2 ways, for example, as 9709456 + 76177984 = 3116^2 + 8728^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 85887391 and 85887400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85887449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 536717 + ... + 536876.

Almost surely, 2^85887440 is an apocalyptic number.

85887440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85887440 is an abundant number, since it is smaller than the sum of its proper divisors (113801044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85887440 is a wasteful number, since it uses less digits than its factorization.

85887440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073606 (or 1073600 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 44.

The square root of 85887440 is about 9267.5476799421. The cubic root of 85887440 is about 441.2078383693.

The spelling of 85887440 in words is "eighty-five million, eight hundred eighty-seven thousand, four hundred forty".